Details

Time bar (total: 1.7s)

analyze8.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%0%100%0
0%0%100%1

sample217.0ms

Algorithm
intervals
Results
2.0ms256×body80valid

simplify508.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
0487443
1487443

prune13.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 58.1b

Counts
2 → 1

localize49.0ms

Local error

Found 4 expressions with local error:

1.0b
(* 5.5 (pow y 8.0))
1.0b
(- (* (* y (* y 11.0)) (pow x 3)) (* x (+ (pow y 6.0) (+ (* 121.0 (pow y 4.0)) 2.0))))
21.5b
(+ (* x (- (* (* y (* y 11.0)) (pow x 3)) (* x (+ (pow y 6.0) (+ (* 121.0 (pow y 4.0)) 2.0))))) (+ (* 5.5 (pow y 8.0)) (/ x (* y 2.0))))
62.0b
(+ (* 333.75 (pow y 6.0)) (+ (* x (- (* (* y (* y 11.0)) (pow x 3)) (* x (+ (pow y 6.0) (+ (* 121.0 (pow y 4.0)) 2.0))))) (+ (* 5.5 (pow y 8.0)) (/ x (* y 2.0)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
12×add-sqr-sqrt
add-exp-log sum-log
add-cube-cbrt *-un-lft-identity associate-*r*
add-cbrt-cube
pow1 unpow-prod-down flip3-+ associate-*r/ frac-add flip-+
sub-neg flip3-- associate-*l* prod-exp flip-- unswap-sqr
+-commutative distribute-rgt-in associate-+l+ associate-+r+ distribute-lft-in associate--r+ sqr-pow
pow-to-exp diff-log pow-exp *-commutative cbrt-unprod
Counts
4 → 71
Calls
4 calls:
5.0ms
(* 5.5 (pow y 8.0))
8.0ms
(- (* (* y (* y 11.0)) (pow x 3)) (* x (+ (pow y 6.0) (+ (* 121.0 (pow y 4.0)) 2.0))))
18.0ms
(+ (* x (- (* (* y (* y 11.0)) (pow x 3)) (* x (+ (pow y 6.0) (+ (* 121.0 (pow y 4.0)) 2.0))))) (+ (* 5.5 (pow y 8.0)) (/ x (* y 2.0))))
20.0ms
(+ (* 333.75 (pow y 6.0)) (+ (* x (- (* (* y (* y 11.0)) (pow x 3)) (* x (+ (pow y 6.0) (+ (* 121.0 (pow y 4.0)) 2.0))))) (+ (* 5.5 (pow y 8.0)) (/ x (* y 2.0)))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* 5.5 (pow y 8.0))
18.0ms
(- (* (* y (* y 11.0)) (pow x 3)) (* x (+ (pow y 6.0) (+ (* 121.0 (pow y 4.0)) 2.0))))
87.0ms
(+ (* x (- (* (* y (* y 11.0)) (pow x 3)) (* x (+ (pow y 6.0) (+ (* 121.0 (pow y 4.0)) 2.0))))) (+ (* 5.5 (pow y 8.0)) (/ x (* y 2.0))))
64.0ms
(+ (* 333.75 (pow y 6.0)) (+ (* x (- (* (* y (* y 11.0)) (pow x 3)) (* x (+ (pow y 6.0) (+ (* 121.0 (pow y 4.0)) 2.0))))) (+ (* 5.5 (pow y 8.0)) (/ x (* y 2.0)))))

simplify42.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
053232871

prune295.0ms

Filtered
66 candidates to 83 candidates (-25.8%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New82183
Fresh000
Picked101
Done000
Total83184

Merged error: 57.1b

Counts
84 → 1

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune3.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done000
Total011

Merged error: 57.1b

Counts
1 → 1

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04811
14811

end0.0ms

sample311.0ms

Algorithm
intervals
Results
50.0ms8000×body80valid

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